Stabilised finite element methods for a bending moment formulation of the Reissner-Mindlin plate model

Gabriel R. Barrenechea, Tomás P. Barrios, Andreas Wachtel

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Abstract

This work presents new stabilised finite element methods for a bending moments formulation of the Reissner-Mindlin plate model. The introduction of the bending moment as an extra unknown leads to a new weak formulation, where the symmetry of this variable is imposed strongly in the space. This weak problem is proved to be well-posed, and stabilised Galerkin schemes for its discretisation are presented and analysed. The finite element methods are such that the bending moment tensor is sought in a finite element space constituted of piecewise linear continuos and symmetric tensors. Optimal error estimates are proved, and these findings are illustrated by representative numerical experiments.
Original languageEnglish
Number of pages25
JournalCalcolo
DOIs
Publication statusPublished - 6 Aug 2014

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Keywords

  • Reissner-Mindlin plate
  • symmetric tensor
  • symmetric formulation
  • stabilised finite element method

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